Average Complete Notes | औसत सम्पूर्ण नोट्स
Comprehensive notes on Average with formulas, examples, and 30 practice questions for SSC, Railway, and Indian government exam preparation.
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A bullet train covers a fixed distance in 30 minutes at an average speed of 240 km/h. Due to track maintenance, it needs to be diverted, increasing the distance by 20%. If the train needs to arrive at its destination on time (i.e., in 30 minutes), what should its new average speed be in km/h?
Learn how to find the new average speed of a bullet train that covers 20% more distance but must arrive on time. Ideal for SSC, Railway, and government exam prep.
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The average of 15 numbers is 80. The average of the first 6 numbers is 72. The average of the next 6 numbers is 25% more than the average of the first 6 numbers. The 13th number is 8 more than the 15th number, and the 14th number is 10 less than the 15th number. What is the average of the 13th and 14th numbers?
Learn to find the average of the 13th and 14th numbers using given averages and relationships in this SSC CGL PYQ math problem solution.
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What is the average of all integers between 100 and 250 that are exactly divisible by 11?
Learn how to find the average of integers divisible by 11 between 100 and 250 using arithmetic progression, a key concept for SSC, Railway, and government exams.
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During 1991–92 to 1998–99, which industrial sector showed a clear decline in the average annual growth according to the Index of Industrial Production (IIP)?
During 1991–92 to 1998–99, which industrial sector showed a clear decline in the average annual growth according to the Index of Industrial Production (IIP)? 19
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26 August 2026 Current Affairs: UPI 10 Years, India Post App Upgrades
UPI marks 10 years with 66 crore average daily transactions, record volumes and global rollout; Ministry of Communications upgrades Dak MITRA and Dak Sewa apps, serving 1.4 lakh+ b
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SSC CGL 2025 Maths Solution | 15 September Shift 3 | Previous Year Paper
SSC CGL 2025 15 September Shift 3 Maths Questions with complete solutions and answers. Practice important previous year Mathematics questions asked in SSC CGL Tier 1 and improve yo
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SSC CGL 2025 Maths Question Paper Solution | 15 September Shift 1 | Complete Video Solutions
Prepare with the complete SSC CGL 2025 15 September Shift 1 Maths Question Paper Solutions. This article/video contains detailed step-by-step solutions for all Quantitative Aptitud
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50 River and Boat Problems MCQs for SSC CGL, CHSL, MTS & Railway | Bilingual (English + हिन्दी) with Answers
Practice 50 important River and Boat aptitude questions specially designed for SSC CGL, SSC CHSL, SSC MTS, CPO, GD, RRB NTPC, Group D, ALP and other competitive exams. This bilingu
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Top 25 SSC & Railway Maths MCQs with Answers (Bilingual)
Prepare for SSC CGL, SSC CHSL, SSC MTS, SSC GD, RRB NTPC, Railway Group D, and other competitive exams with these Top 25 Maths MCQs in bilingual (English & Hindi). This practice se
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Age Problems Practice Set | SSC, Railway, Banking & Competitive Exams
Practice important Age Problems MCQs for SSC, Railway, Banking and other competitive exams with Vitorr Classes. This set includes questions based on present age, past age, future a
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15 mins Arithmetic Set 4 for SSC & Railway Exams Solution
Detailed solutions for 25 arithmetic problems focused on SSC, Railway, and government exam preparation. Topics include profit, work, speed, averages, and interest calculations.
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SSC GD MATH PRACTICE PAPER
Practice SSC GD 2026 math questions with solutions covering profit, averages, geometry, interest, and more for SSC, Railway, and government exam preparation.
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The average of 15 numbers is 80. The average of the first 6 numbers is 72. The average of the next 6 numbers is 25% more than the average of the first 6 numbers. The 13th number is 8 more than the 15th number, and the 14th number is 10 less than the 15th number. What is the average of the 13th and 14th numbers? 15 संख्याओं का औसत 80 है। पहली 6 संख्याओं का औसत 72 है। अगली 6 संख्याओं का औसत पहली 6 संख्याओं के औसत से 25% अधिक है। 13वीं संख्या, 15वीं संख्या से 8 अधिक है और 14वीं संख्या, 15वीं संख्या से 10 कम है। 13वीं और 14वीं संख्याओं का औसत क्या है?
Average of the next 6 numbers: अगली 6 संख्याओं का औसत: = 72 + 25% of 72 = 72 + 18 = 90 Net deviation of first 12 numbers from average 80: औसत 80…
What is the average of all integers between 100 and 250 that are exactly divisible by 11? 100 और 250 के बीच उन सभी पूर्णांकों का औसत क्या है जो 11 से पूर्णतः विभाज्य हैं?
For an Arithmetic Progression: समांतर श्रेणी के लिए: Average = (First term + Last term) ÷ 2 औसत = (पहला पद + अंतिम पद) ÷ 2 First multiple of 11 a…
Arrange the following sentences in the correct order. A. Consequently, an increase in reported efficiency may partly reflect the exclusion of unusually demanding cases. B. A public agency introduced a simplified process for handling routine applications. C. Complex applications were redirected to a specialised department and excluded from the agency's routine processing statistics. D. The average processing time for the remaining applications subsequently declined. Options:
(English): B introduces the simplified procedure. C describes redirecting complex cases. D gives the lower average processing time for remaining…
Arrange the following sentences in the correct order. A. The observed improvement could therefore reflect both genuine behavioural change and differences in who responded to the survey. B. A university survey reported that students were spending more time on independent study. C. Participation in the latest survey was voluntary, and academically engaged students were more likely to complete it. D. Their greater representation could raise the reported average even if the behaviour of the wider student population changed little. Options:
(English): B introduces the increase in reported study time. C identifies voluntary response and possible selection bias. D explains the effect o…
Arrange the following sentences in the correct order. A. Consequently, improvements in average performance may conceal persistent difficulties among particular groups. B. Educational institutions often report average examination scores as indicators of academic progress. C. However, an average combines the performance of students with widely different levels of preparation. D. A rise in scores among already successful students can offset stagnation or decline among weaker students. Options:
(English): B introduces average examination scores. C identifies the limitation of averages. D explains how changes among different groups can of…
Arrange the following sentences in the correct order. A. The economists therefore compared wage growth within similar occupational categories instead of relying exclusively on the national average. B. Average wages increased after a period in which many low-paying jobs disappeared. C. The remaining workforce consequently contained a larger proportion of workers employed in higher-paying occupations. D. Such a compositional shift could raise average wages even without substantial pay increases for individual workers. Options:
(English): B introduces rising average wages. C explains how the workforce composition changed. D identifies the mathematical implication. A desc…
Arrange the following sentences in the correct order. A. This meant that the increase in the average did not necessarily describe the experience of a typical customer. B. A hotel chain reported a sharp rise in average expenditure per guest. C. A small number of luxury bookings accounted for a disproportionate share of the additional revenue. D. Median expenditure per guest, however, changed only slightly. Options:
(English): B introduces the rise in average spending. C identifies the concentration of additional revenue in luxury bookings. D contrasts the me…
Arrange the following sentences in the correct order. A. The investigators therefore examined whether the reported decline persisted when the same population was followed over time. B. A survey found that average daily screen time had declined among teenagers. C. The later survey included a larger proportion of younger teenagers, who generally reported lower screen use than older teenagers. D. This change in the sample's age composition could lower the overall average independently of changes in individual behaviour. Options:
(English): B introduces the decline. C identifies a difference in the age composition of survey participants. D explains its effect on the averag…
Arrange the following sentences in the correct order. A. The comparison revealed that much of the apparent improvement resulted from a shift toward less complicated orders. B. A logistics company reported a substantial reduction in average delivery time. C. During the same period, the proportion of local deliveries increased while long-distance orders declined. D. Analysts calculated delivery times separately for local and long-distance orders. Options:
(English): B introduces the improvement. C identifies a change in the composition of deliveries. D describes comparing the two delivery categorie…
Arrange the following sentences in the correct order. A. The apparent improvement thus depended partly on which institutions remained in the dataset. B. A report showed that the average financial performance of regional banks had improved substantially. C. Several poorly performing banks had merged with larger institutions and no longer appeared as separate entries. D. Analysts recalculated the average using a consistent set of institutions across the comparison period. Options:
(English): B introduces the improved average. C identifies the disappearance of weaker institutions as separate observations. A explains how the…
Arrange the following sentences in the correct order. A. The result showed that the overall increase concealed opposite trends across different age groups. B. A national report indicated that participation in organised sports had increased over five years. C. Researchers separated participation rates by age rather than relying exclusively on the national average. D. Participation had risen substantially among older adults but declined slightly among adolescents. Options:
(English): B introduces the overall increase. C describes analysing age groups separately. D identifies the opposing trends, and A explains why t…
Arrange the following sentences in the correct order. A. The researchers consequently examined whether the apparent improvement remained after excluding the effects of the changed route network. B. A bus operator reported lower average journey times after introducing a traffic-management system. C. Several long and congested routes had also been discontinued during the same period. D. Removing those routes from the calculation could reduce average journey time even without faster travel on the remaining routes. Options:
(English): B introduces the reported improvement. C identifies the removal of long routes. D explains the mathematical effect on the average, and…
Arrange the following sentences in the correct order. A. The adjusted results showed that much of the apparent difference reflected the changing composition of passengers. B. A transport survey found that average passenger satisfaction had increased after a fare revision. C. The fare revision was followed by a decline in occasional passengers, who had previously reported lower satisfaction than regular commuters. D. Researchers recalculated satisfaction using a constant proportion of occasional and regular passengers. Options:
(English): B introduces higher average satisfaction. C identifies a change in passenger composition. D describes standardising the group proporti…
Arrange the following sentences in the correct order. A. Consequently, the average duration of completed cases was not necessarily representative of all cases entering the system. B. A court reported that the average duration of cases completed during the year had declined. C. Several complicated cases remained unresolved and therefore did not appear in the completed-case statistics. D. Analysts examined both completed cases and the age of cases still pending. Options:
(English): B introduces the shorter average duration. C identifies the exclusion of unresolved complicated cases. A explains the resulting repres…
Arrange the following sentences in the correct order. A. Such a shift could increase average expenditure even if the prices of individual services remained unchanged. B. A healthcare report showed that average spending per hospital visit had increased substantially. C. Analysts therefore separated routine consultations from specialised procedures before comparing expenditure. D. During the same period, specialised procedures had become a larger proportion of all recorded visits. Options:
(English): B introduces higher average expenditure. D identifies a change in the composition of visits. A explains how that change could raise th…
Arrange the following sentences in the correct order. A. The observation complicates any attempt to infer changes in individual behaviour from the aggregate figure alone. B. Average household electricity consumption declines after a region experiences a substantial increase in the number of single-person households. C. Single-person households generally consume less total electricity than larger households, although their consumption per person may be higher. D. The changing household structure can therefore lower the average per household even without conservation within comparable households. Options:
(English): B introduces the decline and demographic shift. C explains how household size relates to electricity use. D shows how composition alon…
Arrange the following sentences in the correct order. A. The result cautions against interpreting the higher average as a general improvement experienced by most households. B. Average household wealth rises sharply over a decade, while median wealth changes only modestly. C. Further analysis shows that most of the additional wealth is concentrated among households already near the top of the distribution. D. The divergence between the two measures therefore contains information about how the gains were distributed. Options:
(English): B establishes the divergence between average and median wealth. C explains that gains are concentrated at the top. D interprets why th…
Arrange the following sentences in the correct order. A. This suggests that the overall decline partly reflects a shift in the kinds of products being sold. B. A manufacturer reports that the average weight of material used per product has fallen. C. Sales have simultaneously shifted toward smaller models that naturally require less material. D. Engineers therefore compare material use within each model rather than relying solely on the company-wide average. Options:
(English): B introduces lower average material use. C identifies a shift toward smaller products. A interprets the company-wide decline, and D de…
Arrange the following sentences in the correct order. A. The difference indicates that the original average was strongly influenced by a small number of very long cases. B. A legal service reports a substantial reduction in the average time required to close cases. C. The median case duration, however, changes only slightly. D. Analysts find that several exceptionally long-running cases were completed during the earlier period. Options:
(English): B introduces the fall in the average. C shows that the median barely changed. D identifies exceptionally long earlier cases, and A exp…
Arrange the following sentences in the correct order. A. The company therefore calculates delivery performance separately for orders of different sizes. B. An online retailer reports that its average delivery time has increased despite improvements in warehouse operations. C. During the same period, customers have begun placing a much larger proportion of bulky multi-item orders. D. Such orders generally require more preparation and transportation time than small orders. Options:
(English): B introduces the puzzling increase in delivery time. C describes the shift toward larger orders. D explains why that shift matters, an…
Arrange the following sentences in the correct order. A. The revised analysis reveals that the apparent decline is concentrated in the youngest age groups. B. A region reports a decrease in the average number of books read per person. C. Researchers suspect that the overall average may conceal substantial differences between age groups. D. They therefore calculate reading frequency separately for different ages. Options:
(English): B introduces the overall decline. C raises the possibility of subgroup differences. D describes analysing age groups separately, and A…
Arrange the following sentences in the correct order. A. The apparent stability of the average therefore conceals substantial movement in opposite directions within the population. B. A national survey reports almost no change in average household expenditure between two years. C. When households are separated by income, however, spending rises considerably among higher-income families and falls among lower-income families. D. Analysts consequently present the group-specific changes alongside the national figure. Options:
(English): B introduces the apparently stable national average. C reveals opposing changes within income groups. A explains why the overall avera…
Arrange the following sentences in the correct order. A. This suggests that the headline figure is sensitive to a small number of unusually large donations. B. A charity reports that the average donation received during its latest campaign has doubled. C. The median donation, however, has changed very little. D. A closer examination reveals several exceptionally large contributions from corporate donors. Options:
(English): B introduces the doubled average. C provides the contrasting median. D explains the difference through a few very large donations, and…
Arrange the following sentences in the correct order. A. Researchers therefore analyse whether improvements differ according to participants' starting levels. B. A training programme reports a large average increase in test scores after instruction. C. Participants with the lowest initial scores have considerably more room for improvement than those who began near the maximum score. D. The analysis shows that gains are strongly concentrated among participants who started with lower scores. Options:
(English): B introduces the average improvement. C explains why starting scores may matter. A describes analysing results by baseline level, and…